 | John Playfair - Euclid's Elements - 1842 - 332 pages
...CAD PROP. IV. THEOR. The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are...is, are the antecedents or consequents of the ratios Let ABC, DCE, be equiangular triangles, having the angle ABC equal to the angle DCE, and the angle... | |
 | Euclides - 1842 - 316 pages
...QED PROP. IV. THEOR. THE sides about the equal angles of equiangular triangles are proportionals : and those which are opposite to the equal angles are homologous sides, that is, the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...THEOR. The sides about the equal angles of equiangular triangles are proportionals; and those ithich are opposite to the equal angles are homologous sides,...is, are the antecedents or consequents of the ratios Let the triangle DCE be placed, so that its side CE may be contiguous to BC, and in the same straight... | |
 | Euclid - Geometry - 1845 - 218 pages
...PROPOSITION IV. THEOB. — The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC equal to the angle DCE, and the angle ACB... | |
 | Euclides - 1845 - 546 pages
...PROPOSITION IV. THEOREM. The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC equal to the angle DCE, and the angle ACB... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...PROP. IV. THEOR.* — The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC equal to I)CE, and ACBto DEC, and consequently... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...THEOR. The sides about the equal angles of equiangular triangles are proportionals ; and those vMch are opposite to the equal angles are homologous sides,...is, are the antecedents or consequents of the ratios Let ABC, DCE,be equiangular triangles, having the angle ABC equal to the angle DCE, and the angle ACB... | |
 | Euclides - 1846 - 292 pages
...PROP. IV. THEOR. The sides about the equal angles of equiangular triangles are proportionals, and those opposite to the equal angles are homologous sides,...are the antecedents or consequents of the ratios. Let ABC, DCE, be equiangular triangles, having the angle ABC equal to the angle DCE, and the angle... | |
 | Euclides - 1848 - 52 pages
...angles. PROP. IV. THEOREM. The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are...antecedents or consequents of the ratios. PROP. V. THEOREM. If the sides of two triangles, about each of their angles, be proportionals, the triangles... | |
 | Education - 1863 - 830 pages
...their common tangent. 3. The sides about the equal angles of equiangular triangles are proportionals, and those which are opposite to the equal angles are homologous sides. Cut a given straight line in extreme and mean ratio. 4. Two straight lines which are each of them parallel... | |
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The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are homologous sides, that is, are the antecedents or consequents of the ratios Let ABC, DCE, be equiangular triangles, having... 
